AQA · Mathematics · 8300
GCSE Maths: Trigonometry missing angles
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Trigonometry missing angles (Corbettmaths Video 331), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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In a right-angled triangle, which trigonometric function relates the opposite side and the adjacent side to an angle?
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Tangent (tan). tan(θ) = opposite / adjacent
In a right-angled triangle, which trigonometric function relates the opposite side and the hypotenuse to an angle?
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Sine (sin). sin(θ) = opposite / hypotenuse
In a right-angled triangle, which trigonometric function relates the adjacent side and the hypotenuse to an angle?
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Cosine (cos). cos(θ) = adjacent / hypotenuse
What is the value of sin 30°?
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0.5
For a ladder to be safe against a vertical wall, what angle range (in degrees) must it make with the ground?
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Between 70° and 80° to the ground.
How many equilateral triangles can a regular hexagon be divided into?
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6 equilateral triangles.
In a right-angled triangle, if you know an angle and the hypotenuse length, which trig function should you use to find the opposite side?
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Sine. Rearrange sin(θ) = opposite/hypotenuse to get: opposite = hypotenuse × sin(θ)
In a right-angled triangle, if you know two sides, how do you find an unknown angle?
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Use the inverse trigonometric function (sin⁻¹, cos⁻¹, or tan⁻¹) appropriate to the sides you know.
What is the angle of elevation?
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The angle between the horizontal and a line of sight looking upward to an object.
In a right-angled triangle, what is the sum of the two non-right angles?
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90°. The three angles in any triangle sum to 180°, so if one is 90°, the other two must sum to 90°.
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